Question

This table shows the input and output values for a linear function f(x).

What is the difference of outputs for any two inputs that are one value apart?

A. -5
B. 1
C. 21.2
D. 27.2

Answer 1

B. 1. The difference of outputs for any two inputs that are one value apart in a linear function is equal to the slope of the function.

Step-by-step explanation:

The difference of outputs for any two inputs that are one value apart in a linear function is equal to the slope of the function. In a linear function, the slope is constant, meaning that the difference of outputs will always be the same regardless of the inputs. Therefore, the correct answer is B. 1.

Answer 2

C

Step-by-step explanation:

The question wants you to calculate f(n)-f(n-1) using the data in the table. This could be done on any of the pairs, but I chose f(0)-f(-1) = 6 - (-15.2) = 21.2, giving us C as the final answer.